131023013137 has 2 divisors, whose sum is σ = 131023013138. Its totient is φ = 131023013136.

The previous prime is 131023013111. The next prime is 131023013201. The reversal of 131023013137 is 731310320131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129597120016 + 1425893121 = 359996^2 + 37761^2 .

It is a cyclic number.

It is not a de Polignac number, because 131023013137 - 2¹¹ = 131023011089 is a prime.

It is not a weakly prime, because it can be changed into another prime (131023013837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65511506568 + 65511506569.

It is an arithmetic number, because the mean of its divisors is an integer number (65511506569).

Almost surely, 2^131023013137 is an apocalyptic number.

It is an amenable number.

131023013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

131023013137 is an equidigital number, since it uses as much as digits as its factorization.

131023013137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 131023013137 its reverse (731310320131), we get a palindrome (862333333268).

The spelling of 131023013137 in words is "one hundred thirty-one billion, twenty-three million, thirteen thousand, one hundred thirty-seven".